Exponential stability in a scalar functional differential equation

DOI10.1155/JIA/2006/37195zbMath1155.34037WikidataQ115243354 ScholiaQ115243354MaRDI QIDQ2471885

Eduardo Liz, Mihály Pituk

Publication date: 19 February 2008

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/129608

zbMATH Keywords

exponential stabilityretarded functional differential equationsmonotone semiflows

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Stability theory of functional-differential equations (34K20)

Related Items (10)

About exact two-sided estimates for stable solutions to autonomous functional differential equations ⋮ Application of M-matrices in construction of exponential estimates for solutions to the Cauchy problem for systems of linear difference and differential equations ⋮ Nonoscillation and exponential stability of delay differential equations with oscillating coefficients ⋮ Stability conditions for scalar delay differential equations with a non-delay term ⋮ Global linearized stability theory for delay differential equations ⋮ Boundedness and persistence of delay differential equations with mixed nonlinearity ⋮ Bessel's differential equation and its Hyers-Ulam stability ⋮ New stability conditions for linear differential equations with several delays ⋮ Exponent estimation for stable solutions of a certain class of differential-difference equations ⋮ On multistability of equations with a distributed delay, monotone production and the Allee effect

Cites Work

• Interaction between oscillations and global asymptotic stability in delay differential equations
• On exponential stability of linear differential equations with several delays
• Special solutions for linear functional differential equations and asymptotic behaviour
• Theory of functional differential equations. 2nd ed
• Convergence to equilibria in scalar nonquasimonotone functional differential equations.
• On stability of some linear and nonlinear delay differential equations
• Monotone semiflows in scalar non-quasi-monotone functional differential equations
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